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Unformatted text preview: y giving a point on the curve, given by the two formulas above. However, since at these points f x ( 1 , 0) = 2 n = 0 , the theorem does guarantee a solution for x in terms of y ; in fact, near any point other than (0 , 1) (the north pole and south pole) we can write x = ( y ), where ( y ) = r 1 y 2 for points on the right semicircle and ( y ) = r 1 y 2 on the left semicircle....
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- Fall '08